Critical points of non-$C^{2}$ functionals

Duong Minh Duc, Tran Vinh Hung, Nguyen Tien Khai

DOI: http://dx.doi.org/10.12775/TMNA.2007.003

Abstract


We establish flows on normed spaces. Applying it we extend
the results of Gromoll, Meyer, Morse and Palais for non-$C^{2}$
functionals.

Keywords


Flows; deformation; Morse-Palais lemma; Gromoll-Meyer splitting theorem; mountain-pass theorem

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